Sentence examples for exist regularly from inspiring English sources

By Theorem 3.2 there exist regularly varying solutions of index ρ of (E) and any such solution (x t)) has asymptotic behavior Psibigl(x t bigr)simfrac{alpha}{alpha-beta}t^{frac{alpha-beta }{3 alpha }}(log t)^{frac{beta}{alpha}-1} biggl(logfrac{sqrt[3]{t}}{log t} biggr)^{-frac{1}{alpha}},quad ttoinfty.

While no common agreement exist, scholars regularly categorize innovations by their degree of newness.

Therefore, by Theorem 3.3 there exist nontrivial regularly varying solutions of index (1-frac {eta}{alpha}=frac{1}{2}) of (E) and any such solution (x t)) has asymptotic behavior x t)sim2sqrt{t}(log t)^{-1} biggl(frac{alpha-beta}{alpha } frac {1}{2^{alpha-beta}}frac{alpha}{alpha-beta} (log t)^{beta-alpha} biggr)^{frac{1}{alpha-beta}}simfrac {sqrt {t}}{log^{2} t}, quad ttoinfty.

The NU's Banser militia still openly exists and regularly drills in military uniforms; its members receive training, and perhaps firearms, from the army and police.

A feminist icon before most people even realised such things existed, she regularly supported Sydney drag performance troupe Sylvia and the Synthetics between 1972 and 1974, during the formative years of the Australian gay rights movement.

Transmission electron microscopy observations showed that the resulting micelles as uniform nanoparticles existed in regularly spherical shapes.

Even the strangest, most annoying or obnoxious people should not be regularly discussed as though they exist to provide entertainment for others.

A positive sequence,, is said to be regularly varying of index,, if there exists and a positive sequence such that (2.1).

In just its second year, the expo brings together UFOlogists, mediums, telepaths, authors, radio hosts, ex-deputy prime ministers (yup), and YouTube comment thread debaters united by their common belief that extraterrestrials exist and are regularly making contact with our planet.

Few, if any, of these conditions regularly exist in urban slums.

As part of the accountability-for-flexibility tradeoff, charter schools must be regularly examined for renewal, but little data exists on how often underperforming charters are shut down.